Based on the extension of the
S-K coding scheme, the encoder functions in the three initial transmissions transmit [1]},
\(\left( {X_{\left( 1 \right) - 2} ,X_{\left( 2 \right) - 2} } \right) &= \left( {0,{{v\left( {M_{\left( 2 \right)} } \right)} \mathord {\left\bad.{\vphantom{{v\left( {M_{\left( 2 \right)} } \right)} {\sqrt{1 - {\rho ^ *} } }}} \right.\hspace{0.0pt}} {\sqrt{1 - \rho ^ * } }}} \right) \\\left( {X_{\left( 1 \right) - 1} ,X_{\left( 2 \right) - 1} } \right) &= \left( {{{v\left( {M_{\left( 1 \right)} } \right)} \mathord {\left\bad.{\vphantom{{v \left( {M_{\left( 1 \right)} } \right)} {\sqrt{1 - \rho ^ * } }}} \right.\hspace{0.0pt}} {\sqrt{1 - \rho ^ * } }},0} \right) \\\left( {X_{\left( 1 \right)0} ,X_{\left( 2 \right)0} } \right) &= \left( {0,0} \right) \) 
